SHIP as a UNIFORM BEAM • Vibrations that exist throughout the hull are of the same type that may exist in a beam free in space • Surrounding water plays an important role but it does not destroy their beamlike characteristic and it is helpful to consider the vibrations of the ideal solid beam free in space (free-free beam)
Types of Elastic Deformation • A beam free in space can undergo FOUR principal types of Elastic Deformation: 1) Bending 2) Twisting 3) Shearing 4) Extensional • Elastic deformations that play a significant role, in the case of ship are: Bending and Shearing in both vertical and horizontal planes through its longitudinal axis (Flexural) Torsion about the longitudinal axis (Twist)
Flexural: Bending like a beam Horizontal bending mode Vertical bending mode (usually more of a concern than the horizontal mode) Torsional: Twist of a beam More likely for container ships
10. Hull Girder Vibration • MODES and NODES • Mode: the pattern or configuration (shape) which the body assumes periodically while in vibratory conditions • Node: is a point in the body which has no displacement when the vibration is confined to one particular mode. • Normal Modes: are patterns in which the body can vibrate freely after the removal of external forces Connecting nodes, give corresponding mode
11. Hull Girder Vibration In both Flexural and Torsional vibrations, a natural frequency is associated with each pattern of vibration and the natural frequencies increase as the number of nodes (points at which curves cross x-axis). If a free-free beam is unsymmetric w.r.t either the vertical or horizontal planes through its longitudinal axis, it will be found that the natural modes of vibration involve Torsion, Bending and Shearing simultaneously.